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Finding the Fourth Proportional to 30,122.94, 41,569.76 and 16,694.42

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Solution

The fourth proportional to 30,122.94, 41,569.76 and 16,694.42 is: 23,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.94 : 41,569.76 = 16,694.42 : x
  2. Step 2: Convert to fraction form
    30,122.94/41,569.76 = 16,694.42/x
  3. Step 3: Cross multiply
    30,122.94x = 41,569.76 × 16,694.42
  4. Step 4: Simplify right side
    30,122.94x = 693,982,741.42
  5. Step 5: Solve for x
    x = 693,982,741.42/30,122.94
  6. Step 6: Final answer
    x = 23,038.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.